Explanation:

Let’s break this down and see how the numbers are connected.

- First pair is: 23 : 531

- Second pair is: 27 : ?

Here’s the thing: If you reverse 23, you get 32. If you cube both digits (2³ = 8, 3³ = 27) and then write them together (827), that doesn’t match 531.

But actually, check this:

- 23 ? 2 and 3

- 2 × 3 = 6

- 2³ = 8, 3³ = 27, 8 + 27 = 35

- 2² = 4, 3² = 9, 4 + 9 = 13

Notice the number: “531”

Break it as “5”, “3”, “1”

Now try: 23

- 2³ = 8, 3³ = 27, 8 + 27 = 35

- 2 × 3 = 6

- 2 + 3 = 5

But concatenation doesn't fit.

Let’s check the options instead. Look for a pattern from 23 to 531.

Try this:

Reverse 23 to get 32, then multiply: 32 × 1 = 32, no...

Let’s reverse 531 to 135, divide by 23, get something.

What if it’s just reversing 23 and adding 500? 32 + 500 = 532, not 531...

Let’s see if there’s a multiplication pattern:

- 23 × 23 = 529

- 23 × 24 = 552

Doesn't fit.

Now, see the options against 27.

- 27 : 802

- 27 : 573

- 27 : 731

- 27 : 656

Let’s try the method—reverse 27 to 72.

If you look at 23, and reverse it to 32, and then add 499 ? 32 + 499 = 531

Now, reverse 27: 72, add 499 = 571, not matching.

Let’s try another pattern: for 23, sum of digits is 5. Cube 2 = 8, 3 = 27, combine as 827, doesn’t fit.

Let’s check if there’s a direct code:

Check digit reversal: 23 ? 32; 531 reversed is 135, not matching.

Let’s compare directly:

- 23 : 531 ? 27 : ?

Try direct multiplication:

23 × 23 = 529

Add 2 = 531

So, 27 × 27 = 729, add 2 = 731

Now check if this matches options:

Option 3: 731

So the pattern is: Multiply the number by itself, then add 2.

The answer is:

- 27 × 27 = 729

- 729 + 2 = 731

So, here’s the correct option:

- Option 3: 731

In summary:

- Multiply the base number by itself, then add 2.

- 23 × 23 + 2 = 531

- 27 × 27 + 2 = 731

- That matches Option 3.

You’re spot on!